Calculate the Greatest Common Factor or GCF of 65, 70 and 190
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The instructions to find the GCF of 65, 70 and 190 are the next:
1. Decompose all numbers into prime factors
| 65 | 5 |
| 13 | 13 |
| 1 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 190 | 2 |
| 95 | 5 |
| 19 | 19 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 65 | = | 5 . 13 |
| Prime factors of 70 | = | 2 . 5 . 7 |
| Prime factors of 190 | = | 2 . 5 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 51
4. Calculate the Greatest Common Factor or GCF
Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.
GCF = 51 = 5
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